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The coherent synchrotron radiation (CSR) effect in a bending path plays animportant role in transverse emittance dilution in high-brightness lightsources and linear colliders, where the electron beams are of short bunchlength and high peak current. Suppression of the emittance growth induced byCSR is critical to preserve the beam quality and help improve the machineperformance. It has been shown that the CSR effect in a double-bend achromat(DBA) can be analyzed with the two-dimensional point-kick analysis method. Inthis paper, this method is applied to analyze the CSR effect in a triple-bendachromat (TBA) with symmetric layout, which is commonly used in the opticsdesigns of energy recovery linacs (ERLs). A condition of cancelling the CSRlinear effect in such a TBA is obtained, and is verified through numericalsimulations. It is demonstrated that emittance preservation can be achievedwith this condition, and to a large extent, has a high tolerance to thefluctuation of the initial transverse phase space distribution of the beam.

Suppression of the emittance growth induced by coherent synchrotron radiation in triple-bend achromats